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Finding the Third Proportional to 364,798 and 582,783

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Solution

The third proportional to 364,798 and 582,783 is: 931,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,798 : 582,783 = 582,783 : x
  2. Step 2: Convert to fraction form
    364,798/582,783 = 582,783/x
  3. Step 3: Cross multiply
    364,798x = 582,783 × 582,783
  4. Step 4: Simplify right side
    364,798x = 339,636,025,089
  5. Step 5: Solve for x
    x = 339,636,025,089/364,798
  6. Step 6: Final answer
    x = 931,024.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.